Submission #727642

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
727642	2023-04-21T04:43:12 Z	SanguineChameleon	Duathlon (APIO18_duathlon)	C++17	47 / 100	80 ms	21232 KB

count_triplets

#include <bits/stdc++.h>
using namespace std;

void just_do_it();

int main() {
	#ifdef KAMIRULEZ
		freopen("kamirulez.inp", "r", stdin);
		freopen("kamirulez.out", "w", stdout);
	#endif
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	just_do_it();
	return 0;
}

const int maxn = 1e5 + 20;
vector<int> adj[maxn];
vector<int> adj_tree[maxn];
vector<int> comp;
bool can[55][55][55];
bool bad[maxn];
bool flag[maxn];
int sz[maxn];
int node_cnt = 0;
int edge_cnt = 0;
int n, m;

void dfs(int x, int a, int b) {
	can[x][a][b] = true;
	for (auto c: adj[b]) {
		if (c != x && !can[x][a][c]) {
			dfs(x, a, c);
		}
	}
}

void dfs1(int u) {
	comp.push_back(u);
	flag[u] = true;
	node_cnt++;
	edge_cnt += adj[u].size();
	sz[u] = 1;
	for (auto v: adj[u]) {
		if (!flag[v]) {
			adj_tree[u].push_back(v);
			adj_tree[v].push_back(u);
			dfs1(v);
			sz[u] += sz[v];
		}
	}
}

void sub1() {
	for (int x = 1; x <= n; x++) {
		for (int a = 1; a <= n; a++) {
			if (a != x) {
				dfs(x, a, a);
			}
		}
		bad[x] = false;
	}
	int res = 0;
	for (int a = 1; a <= n; a++) {
		for (int b = 1; b <= n; b++) {
			if (b == a) {
				continue;
			}
			for (int c = 1; c <= n; c++) {
				if (c == a || c == b) {
					continue;
				}
				bool ok = true;
				for (int x = 1; x <= n; x++) {
					if (x == b) {
						continue;
					}
					if (!can[x][a][b] && !can[x][b][c]) {
						ok = false;
						break;
					}
				}
				if (ok) {
					res++;
				}
			}
		}
	}
	cout << res;
}

long long solve(int root) {
	comp.clear();
	node_cnt = 0;
	edge_cnt = 0;
	dfs1(root);
	edge_cnt /= 2;
	if (node_cnt == edge_cnt) {
		return 1LL * node_cnt * (node_cnt - 1) * (node_cnt - 2);
	}
	long long res = 0;
	for (auto u: comp) {
		res += 1LL * sz[u] * (node_cnt - sz[u]) * 2;
	}
	res -= 1LL * node_cnt * (node_cnt - 1);
	return res;
}

void sub8() {


}

void just_do_it() {
	cin >> n >> m;
	for (int i = 0; i < m; i++) {
		int u, v;
		cin >> u >> v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
	if (n <= 50) {
		sub1();
		return;
	}
	if (n <= 2000 && false) {
		sub8();
		return;
	}
	long long res = 0;
	for (int i = 1; i <= n; i++) {
		if (!flag[i]) {
			res += solve(i);
		}
	}
	cout << res;
	return;
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4948 KB	Output is correct
2	Correct	2 ms	4948 KB	Output is correct
3	Correct	3 ms	4948 KB	Output is correct
4	Correct	3 ms	5024 KB	Output is correct
5	Correct	3 ms	5024 KB	Output is correct
6	Correct	3 ms	5020 KB	Output is correct
7	Correct	3 ms	5024 KB	Output is correct
8	Correct	3 ms	5020 KB	Output is correct
9	Correct	4 ms	5036 KB	Output is correct
10	Correct	3 ms	4948 KB	Output is correct
11	Correct	3 ms	4948 KB	Output is correct
12	Correct	3 ms	4948 KB	Output is correct
13	Correct	3 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	3 ms	4948 KB	Output is correct
16	Correct	4 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	5024 KB	Output is correct
19	Correct	3 ms	5024 KB	Output is correct
20	Correct	3 ms	5016 KB	Output is correct
21	Correct	3 ms	4948 KB	Output is correct
22	Correct	3 ms	4948 KB	Output is correct
23	Correct	3 ms	4948 KB	Output is correct
24	Correct	3 ms	4948 KB	Output is correct
25	Correct	3 ms	4948 KB	Output is correct
26	Correct	3 ms	4948 KB	Output is correct
27	Correct	3 ms	4948 KB	Output is correct
28	Correct	3 ms	4948 KB	Output is correct
29	Correct	3 ms	4948 KB	Output is correct
30	Correct	3 ms	5024 KB	Output is correct
31	Correct	3 ms	4948 KB	Output is correct
32	Correct	3 ms	5024 KB	Output is correct
33	Correct	3 ms	4948 KB	Output is correct
34	Correct	3 ms	4948 KB	Output is correct
35	Correct	3 ms	4948 KB	Output is correct

Subtask #2
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4948 KB	Output is correct
2	Correct	2 ms	4948 KB	Output is correct
3	Correct	3 ms	4948 KB	Output is correct
4	Correct	3 ms	5024 KB	Output is correct
5	Correct	3 ms	5024 KB	Output is correct
6	Correct	3 ms	5020 KB	Output is correct
7	Correct	3 ms	5024 KB	Output is correct
8	Correct	3 ms	5020 KB	Output is correct
9	Correct	4 ms	5036 KB	Output is correct
10	Correct	3 ms	4948 KB	Output is correct
11	Correct	3 ms	4948 KB	Output is correct
12	Correct	3 ms	4948 KB	Output is correct
13	Correct	3 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	3 ms	4948 KB	Output is correct
16	Correct	4 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	5024 KB	Output is correct
19	Correct	3 ms	5024 KB	Output is correct
20	Correct	3 ms	5016 KB	Output is correct
21	Correct	3 ms	4948 KB	Output is correct
22	Correct	3 ms	4948 KB	Output is correct
23	Correct	3 ms	4948 KB	Output is correct
24	Correct	3 ms	4948 KB	Output is correct
25	Correct	3 ms	4948 KB	Output is correct
26	Correct	3 ms	4948 KB	Output is correct
27	Correct	3 ms	4948 KB	Output is correct
28	Correct	3 ms	4948 KB	Output is correct
29	Correct	3 ms	4948 KB	Output is correct
30	Correct	3 ms	5024 KB	Output is correct
31	Correct	3 ms	4948 KB	Output is correct
32	Correct	3 ms	5024 KB	Output is correct
33	Correct	3 ms	4948 KB	Output is correct
34	Correct	3 ms	4948 KB	Output is correct
35	Correct	3 ms	4948 KB	Output is correct
36	Correct	3 ms	5076 KB	Output is correct
37	Correct	4 ms	5060 KB	Output is correct
38	Correct	8 ms	5148 KB	Output is correct
39	Correct	10 ms	5076 KB	Output is correct
40	Correct	11 ms	5076 KB	Output is correct
41	Correct	3 ms	5076 KB	Output is correct
42	Correct	3 ms	5076 KB	Output is correct
43	Correct	4 ms	5076 KB	Output is correct
44	Correct	4 ms	5076 KB	Output is correct
45	Correct	3 ms	5076 KB	Output is correct
46	Correct	4 ms	5148 KB	Output is correct
47	Correct	3 ms	4948 KB	Output is correct
48	Correct	3 ms	5076 KB	Output is correct
49	Correct	3 ms	5076 KB	Output is correct
50	Correct	3 ms	5176 KB	Output is correct
51	Correct	8 ms	5156 KB	Output is correct
52	Correct	8 ms	5076 KB	Output is correct
53	Correct	9 ms	5076 KB	Output is correct
54	Correct	10 ms	5076 KB	Output is correct
55	Correct	9 ms	5076 KB	Output is correct
56	Correct	9 ms	5076 KB	Output is correct
57	Correct	8 ms	5152 KB	Output is correct
58	Correct	11 ms	5156 KB	Output is correct
59	Correct	7 ms	5076 KB	Output is correct
60	Correct	7 ms	5152 KB	Output is correct
61	Correct	5 ms	5076 KB	Output is correct
62	Correct	4 ms	5076 KB	Output is correct
63	Correct	8 ms	5148 KB	Output is correct
64	Correct	7 ms	5184 KB	Output is correct
65	Correct	7 ms	5076 KB	Output is correct

Subtask #3
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	77 ms	21232 KB	Output is correct
2	Correct	76 ms	21188 KB	Output is correct
3	Correct	68 ms	17096 KB	Output is correct
4	Correct	66 ms	19088 KB	Output is correct
5	Correct	70 ms	15708 KB	Output is correct
6	Correct	73 ms	15816 KB	Output is correct
7	Correct	65 ms	14644 KB	Output is correct
8	Correct	66 ms	15284 KB	Output is correct
9	Correct	66 ms	13916 KB	Output is correct
10	Correct	64 ms	14460 KB	Output is correct
11	Correct	53 ms	12656 KB	Output is correct
12	Correct	59 ms	12576 KB	Output is correct
13	Correct	51 ms	12308 KB	Output is correct
14	Correct	53 ms	12072 KB	Output is correct
15	Correct	42 ms	11184 KB	Output is correct
16	Correct	42 ms	11096 KB	Output is correct
17	Correct	4 ms	5536 KB	Output is correct
18	Correct	4 ms	5500 KB	Output is correct
19	Correct	4 ms	5460 KB	Output is correct
20	Correct	4 ms	5404 KB	Output is correct
21	Correct	4 ms	5404 KB	Output is correct
22	Correct	4 ms	5460 KB	Output is correct

Subtask #4
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	5076 KB	Output is correct
2	Correct	3 ms	5028 KB	Output is correct
3	Correct	3 ms	5036 KB	Output is correct
4	Correct	3 ms	5076 KB	Output is correct
5	Correct	3 ms	5076 KB	Output is correct
6	Correct	4 ms	5076 KB	Output is correct
7	Correct	4 ms	5076 KB	Output is correct
8	Correct	3 ms	5076 KB	Output is correct
9	Correct	3 ms	5076 KB	Output is correct
10	Correct	3 ms	5076 KB	Output is correct
11	Correct	3 ms	5076 KB	Output is correct
12	Correct	3 ms	5032 KB	Output is correct
13	Correct	4 ms	5076 KB	Output is correct
14	Correct	3 ms	5076 KB	Output is correct
15	Correct	4 ms	5032 KB	Output is correct
16	Correct	3 ms	5076 KB	Output is correct
17	Correct	3 ms	5032 KB	Output is correct
18	Correct	3 ms	5032 KB	Output is correct
19	Correct	3 ms	5076 KB	Output is correct
20	Correct	3 ms	5028 KB	Output is correct

Subtask #5
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	59 ms	13596 KB	Output is correct
2	Correct	69 ms	13612 KB	Output is correct
3	Correct	63 ms	13576 KB	Output is correct
4	Correct	60 ms	13600 KB	Output is correct
5	Correct	64 ms	13548 KB	Output is correct
6	Correct	73 ms	17600 KB	Output is correct
7	Correct	65 ms	16244 KB	Output is correct
8	Correct	78 ms	15436 KB	Output is correct
9	Correct	67 ms	14736 KB	Output is correct
10	Correct	62 ms	13384 KB	Output is correct
11	Correct	58 ms	13508 KB	Output is correct
12	Correct	58 ms	13240 KB	Output is correct
13	Correct	57 ms	13304 KB	Output is correct
14	Correct	52 ms	12832 KB	Output is correct
15	Correct	55 ms	12496 KB	Output is correct
16	Correct	33 ms	10700 KB	Output is correct
17	Correct	44 ms	14188 KB	Output is correct
18	Correct	41 ms	14144 KB	Output is correct
19	Correct	47 ms	14232 KB	Output is correct
20	Correct	55 ms	14224 KB	Output is correct

Subtask #6
0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	5076 KB	Output is correct
2	Correct	3 ms	5076 KB	Output is correct
3	Incorrect	3 ms	5076 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #7
0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	71 ms	13620 KB	Output is correct
2	Correct	64 ms	13508 KB	Output is correct
3	Incorrect	80 ms	13632 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #8
0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4948 KB	Output is correct
2	Correct	2 ms	4948 KB	Output is correct
3	Correct	3 ms	4948 KB	Output is correct
4	Correct	3 ms	5024 KB	Output is correct
5	Correct	3 ms	5024 KB	Output is correct
6	Correct	3 ms	5020 KB	Output is correct
7	Correct	3 ms	5024 KB	Output is correct
8	Correct	3 ms	5020 KB	Output is correct
9	Correct	4 ms	5036 KB	Output is correct
10	Correct	3 ms	4948 KB	Output is correct
11	Correct	3 ms	4948 KB	Output is correct
12	Correct	3 ms	4948 KB	Output is correct
13	Correct	3 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	3 ms	4948 KB	Output is correct
16	Correct	4 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	5024 KB	Output is correct
19	Correct	3 ms	5024 KB	Output is correct
20	Correct	3 ms	5016 KB	Output is correct
21	Correct	3 ms	4948 KB	Output is correct
22	Correct	3 ms	4948 KB	Output is correct
23	Correct	3 ms	4948 KB	Output is correct
24	Correct	3 ms	4948 KB	Output is correct
25	Correct	3 ms	4948 KB	Output is correct
26	Correct	3 ms	4948 KB	Output is correct
27	Correct	3 ms	4948 KB	Output is correct
28	Correct	3 ms	4948 KB	Output is correct
29	Correct	3 ms	4948 KB	Output is correct
30	Correct	3 ms	5024 KB	Output is correct
31	Correct	3 ms	4948 KB	Output is correct
32	Correct	3 ms	5024 KB	Output is correct
33	Correct	3 ms	4948 KB	Output is correct
34	Correct	3 ms	4948 KB	Output is correct
35	Correct	3 ms	4948 KB	Output is correct
36	Correct	3 ms	5076 KB	Output is correct
37	Correct	4 ms	5060 KB	Output is correct
38	Correct	8 ms	5148 KB	Output is correct
39	Correct	10 ms	5076 KB	Output is correct
40	Correct	11 ms	5076 KB	Output is correct
41	Correct	3 ms	5076 KB	Output is correct
42	Correct	3 ms	5076 KB	Output is correct
43	Correct	4 ms	5076 KB	Output is correct
44	Correct	4 ms	5076 KB	Output is correct
45	Correct	3 ms	5076 KB	Output is correct
46	Correct	4 ms	5148 KB	Output is correct
47	Correct	3 ms	4948 KB	Output is correct
48	Correct	3 ms	5076 KB	Output is correct
49	Correct	3 ms	5076 KB	Output is correct
50	Correct	3 ms	5176 KB	Output is correct
51	Correct	8 ms	5156 KB	Output is correct
52	Correct	8 ms	5076 KB	Output is correct
53	Correct	9 ms	5076 KB	Output is correct
54	Correct	10 ms	5076 KB	Output is correct
55	Correct	9 ms	5076 KB	Output is correct
56	Correct	9 ms	5076 KB	Output is correct
57	Correct	8 ms	5152 KB	Output is correct
58	Correct	11 ms	5156 KB	Output is correct
59	Correct	7 ms	5076 KB	Output is correct
60	Correct	7 ms	5152 KB	Output is correct
61	Correct	5 ms	5076 KB	Output is correct
62	Correct	4 ms	5076 KB	Output is correct
63	Correct	8 ms	5148 KB	Output is correct
64	Correct	7 ms	5184 KB	Output is correct
65	Correct	7 ms	5076 KB	Output is correct
66	Correct	3 ms	4948 KB	Output is correct
67	Correct	3 ms	5076 KB	Output is correct
68	Incorrect	3 ms	5032 KB	Output isn't correct
69	Halted	0 ms	0 KB	-

Subtask #9
0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4948 KB	Output is correct
2	Correct	2 ms	4948 KB	Output is correct
3	Correct	3 ms	4948 KB	Output is correct
4	Correct	3 ms	5024 KB	Output is correct
5	Correct	3 ms	5024 KB	Output is correct
6	Correct	3 ms	5020 KB	Output is correct
7	Correct	3 ms	5024 KB	Output is correct
8	Correct	3 ms	5020 KB	Output is correct
9	Correct	4 ms	5036 KB	Output is correct
10	Correct	3 ms	4948 KB	Output is correct
11	Correct	3 ms	4948 KB	Output is correct
12	Correct	3 ms	4948 KB	Output is correct
13	Correct	3 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	3 ms	4948 KB	Output is correct
16	Correct	4 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	5024 KB	Output is correct
19	Correct	3 ms	5024 KB	Output is correct
20	Correct	3 ms	5016 KB	Output is correct
21	Correct	3 ms	4948 KB	Output is correct
22	Correct	3 ms	4948 KB	Output is correct
23	Correct	3 ms	4948 KB	Output is correct
24	Correct	3 ms	4948 KB	Output is correct
25	Correct	3 ms	4948 KB	Output is correct
26	Correct	3 ms	4948 KB	Output is correct
27	Correct	3 ms	4948 KB	Output is correct
28	Correct	3 ms	4948 KB	Output is correct
29	Correct	3 ms	4948 KB	Output is correct
30	Correct	3 ms	5024 KB	Output is correct
31	Correct	3 ms	4948 KB	Output is correct
32	Correct	3 ms	5024 KB	Output is correct
33	Correct	3 ms	4948 KB	Output is correct
34	Correct	3 ms	4948 KB	Output is correct
35	Correct	3 ms	4948 KB	Output is correct
36	Correct	3 ms	5076 KB	Output is correct
37	Correct	4 ms	5060 KB	Output is correct
38	Correct	8 ms	5148 KB	Output is correct
39	Correct	10 ms	5076 KB	Output is correct
40	Correct	11 ms	5076 KB	Output is correct
41	Correct	3 ms	5076 KB	Output is correct
42	Correct	3 ms	5076 KB	Output is correct
43	Correct	4 ms	5076 KB	Output is correct
44	Correct	4 ms	5076 KB	Output is correct
45	Correct	3 ms	5076 KB	Output is correct
46	Correct	4 ms	5148 KB	Output is correct
47	Correct	3 ms	4948 KB	Output is correct
48	Correct	3 ms	5076 KB	Output is correct
49	Correct	3 ms	5076 KB	Output is correct
50	Correct	3 ms	5176 KB	Output is correct
51	Correct	8 ms	5156 KB	Output is correct
52	Correct	8 ms	5076 KB	Output is correct
53	Correct	9 ms	5076 KB	Output is correct
54	Correct	10 ms	5076 KB	Output is correct
55	Correct	9 ms	5076 KB	Output is correct
56	Correct	9 ms	5076 KB	Output is correct
57	Correct	8 ms	5152 KB	Output is correct
58	Correct	11 ms	5156 KB	Output is correct
59	Correct	7 ms	5076 KB	Output is correct
60	Correct	7 ms	5152 KB	Output is correct
61	Correct	5 ms	5076 KB	Output is correct
62	Correct	4 ms	5076 KB	Output is correct
63	Correct	8 ms	5148 KB	Output is correct
64	Correct	7 ms	5184 KB	Output is correct
65	Correct	7 ms	5076 KB	Output is correct
66	Correct	77 ms	21232 KB	Output is correct
67	Correct	76 ms	21188 KB	Output is correct
68	Correct	68 ms	17096 KB	Output is correct
69	Correct	66 ms	19088 KB	Output is correct
70	Correct	70 ms	15708 KB	Output is correct
71	Correct	73 ms	15816 KB	Output is correct
72	Correct	65 ms	14644 KB	Output is correct
73	Correct	66 ms	15284 KB	Output is correct
74	Correct	66 ms	13916 KB	Output is correct
75	Correct	64 ms	14460 KB	Output is correct
76	Correct	53 ms	12656 KB	Output is correct
77	Correct	59 ms	12576 KB	Output is correct
78	Correct	51 ms	12308 KB	Output is correct
79	Correct	53 ms	12072 KB	Output is correct
80	Correct	42 ms	11184 KB	Output is correct
81	Correct	42 ms	11096 KB	Output is correct
82	Correct	4 ms	5536 KB	Output is correct
83	Correct	4 ms	5500 KB	Output is correct
84	Correct	4 ms	5460 KB	Output is correct
85	Correct	4 ms	5404 KB	Output is correct
86	Correct	4 ms	5404 KB	Output is correct
87	Correct	4 ms	5460 KB	Output is correct
88	Correct	3 ms	5076 KB	Output is correct
89	Correct	3 ms	5028 KB	Output is correct
90	Correct	3 ms	5036 KB	Output is correct
91	Correct	3 ms	5076 KB	Output is correct
92	Correct	3 ms	5076 KB	Output is correct
93	Correct	4 ms	5076 KB	Output is correct
94	Correct	4 ms	5076 KB	Output is correct
95	Correct	3 ms	5076 KB	Output is correct
96	Correct	3 ms	5076 KB	Output is correct
97	Correct	3 ms	5076 KB	Output is correct
98	Correct	3 ms	5076 KB	Output is correct
99	Correct	3 ms	5032 KB	Output is correct
100	Correct	4 ms	5076 KB	Output is correct
101	Correct	3 ms	5076 KB	Output is correct
102	Correct	4 ms	5032 KB	Output is correct
103	Correct	3 ms	5076 KB	Output is correct
104	Correct	3 ms	5032 KB	Output is correct
105	Correct	3 ms	5032 KB	Output is correct
106	Correct	3 ms	5076 KB	Output is correct
107	Correct	3 ms	5028 KB	Output is correct
108	Correct	59 ms	13596 KB	Output is correct
109	Correct	69 ms	13612 KB	Output is correct
110	Correct	63 ms	13576 KB	Output is correct
111	Correct	60 ms	13600 KB	Output is correct
112	Correct	64 ms	13548 KB	Output is correct
113	Correct	73 ms	17600 KB	Output is correct
114	Correct	65 ms	16244 KB	Output is correct
115	Correct	78 ms	15436 KB	Output is correct
116	Correct	67 ms	14736 KB	Output is correct
117	Correct	62 ms	13384 KB	Output is correct
118	Correct	58 ms	13508 KB	Output is correct
119	Correct	58 ms	13240 KB	Output is correct
120	Correct	57 ms	13304 KB	Output is correct
121	Correct	52 ms	12832 KB	Output is correct
122	Correct	55 ms	12496 KB	Output is correct
123	Correct	33 ms	10700 KB	Output is correct
124	Correct	44 ms	14188 KB	Output is correct
125	Correct	41 ms	14144 KB	Output is correct
126	Correct	47 ms	14232 KB	Output is correct
127	Correct	55 ms	14224 KB	Output is correct
128	Correct	3 ms	5076 KB	Output is correct
129	Correct	3 ms	5076 KB	Output is correct
130	Incorrect	3 ms	5076 KB	Output isn't correct
131	Halted	0 ms	0 KB	-

Submission #727642

Compilation message